English

Horizontal Symmetry: Bottom Up and Top Down

High Energy Physics - Phenomenology 2011-05-27 v1

Abstract

A group-theoretical connection between horizontal symmetry \G\G and fermion mixing is established, and applied to neutrino mixing. The group-theoretical approach is consistent with a dynamical theory based on U(1)×\GU(1)\times \G, but the dynamical theory can be used to pick out the most stable mixing that purely group-theoretical considerations cannot. A symmetry common to leptons and quarks is also discussed. This higher symmetry picks A4A_4 over S4S_4 to be the preferred symmetry for leptons.

Keywords

Cite

@article{arxiv.1105.5166,
  title  = {Horizontal Symmetry: Bottom Up and Top Down},
  author = {C. S. Lam},
  journal= {arXiv preprint arXiv:1105.5166},
  year   = {2011}
}

Comments

Based on a talk given at WIN 11, Jan 31 to Feb 5, 2011, Capetown, South Africa

R2 v1 2026-06-21T18:12:48.046Z